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20021033100 = 223522328310253
BaseRepresentation
bin10010101001010110…
…001011100010001100
31220200022002212020110
4102221112023202030
5312000341024400
613110400120020
71306065654615
oct225126134214
956608085213
1020021033100
118544395552
123a69006010
131b70b60363
14d7cddcc0c
157c2a22e50
hex4a958b88c

20021033100 has 144 divisors (see below), whose sum is σ = 60665617152. Its totient is φ = 5088272640.

The previous prime is 20021033099. The next prime is 20021033119. The reversal of 20021033100 is 133012002.

It is a happy number.

It is a super-2 number, since 2×200210331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947574 + ... + 1957826.

It is an arithmetic number, because the mean of its divisors is an integer number (421289008).

Almost surely, 220021033100 is an apocalyptic number.

20021033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332808576).

20021033100 is an abundant number, since it is smaller than the sum of its proper divisors (40644584052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20021033100 is a wasteful number, since it uses less digits than its factorization.

20021033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20021033100 its reverse (133012002), we get a palindrome (20154045102).

The spelling of 20021033100 in words is "twenty billion, twenty-one million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 283 300 345 460 566 575 690 849 1132 1150 1380 1415 1698 1725 2300 2830 3396 3450 4245 5660 6509 6900 7075 8490 10253 13018 14150 16980 19527 20506 21225 26036 28300 30759 32545 39054 41012 42450 51265 61518 65090 78108 84900 97635 102530 123036 130180 153795 162725 195270 205060 235819 256325 307590 325450 390540 471638 488175 512650 615180 650900 707457 768975 943276 976350 1025300 1179095 1414914 1537950 1952700 2358190 2829828 2901599 3075900 3537285 4716380 5803198 5895475 7074570 8704797 11606396 11790950 14149140 14507995 17409594 17686425 23581900 29015990 34819188 35372850 43523985 58031980 66736777 70745700 72539975 87047970 133473554 145079950 174095940 200210331 217619925 266947108 290159900 333683885 400420662 435239850 667367770 800841324 870479700 1001051655 1334735540 1668419425 2002103310 3336838850 4004206620 5005258275 6673677700 10010516550 20021033100